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Finding the Third Proportional to 107,954,491.50 and 235,076,823

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Solution

The third proportional to 107,954,491.50 and 235,076,823 is: 511,892,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,954,491.50 : 235,076,823 = 235,076,823 : x
  2. Step 2: Convert to fraction form
    107,954,491.50/235,076,823 = 235,076,823/x
  3. Step 3: Cross multiply
    107,954,491.50x = 235,076,823 × 235,076,823
  4. Step 4: Simplify right side
    107,954,491.50x = 55,261,112,711,773,328
  5. Step 5: Solve for x
    x = 55,261,112,711,773,328/107,954,491.50
  6. Step 6: Final answer
    x = 511,892,668.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.